You are dealt one card from a 52-card deck. Find the probability that you are not dealt a non-picture card.
1 answer:
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The equation of the parallel line is y = –2x – 11.
Solution:
Given equation of the line is y = –2x – 5.
Slope of this line is = –2
To write the equation parallel to this line and passes through (–4, –3).
<em>If two lines are parallel, then they have the same slope.</em>
<u>Point-slope formula:</u>
Substitute the given values in the formula, we get
Subtract 3 from both sides of the equation.
Hence the equation of the parallel line is y = –2x – 11.
Answer:
a= 13.15 years
b= -0.62 years/$
Step-by-step explanation:
Hello!
Given the variables
Y: Age of a used car. (years)
X: Price of a sold used car. ($000)
The linear regression model is:
E(Y)= α + βXi
The estimated equation is:
^Y= a + bXi
a= 13.15 years
b= -0.62 years/$
Then ^Y= 13.15 - 0.62Xi
Mean Y= 8.92
Mean X= 6.91
∑Y= 107
∑Y²=1009
∑X=82.90
∑X²=615.29
∑XY=712.9
Hope it helps!
Answer:
0.47x + 7.72
Step-by-step explanation:
We have to create a Linear model using the given two points on the graph. The two points are: (21, 17.5) and (43, 2.75)
The general equation of the line in slope intercept form is
y = mx + c
where m is the slope and c is the y-intercept.
Calculating the slope:
Using the value of m in above equation we get:
y = 0.47x + c
Calculating the y-intercept:
Using any of the given points we can calculate the value of c. Using the point (21, 17.5) in the above equation, we get:
17.5 = 0.47(21) + c
c = 17.5 - 0.47(21)
c = 7.63
Therefore, the equation is:
y = 0.47x + 7.63
Hence option a is the correct answer. The slight change in the value of "c" is because of rounding the value of m to 2 decimal places.
So from the given options, the correct answers is:
y = 0.47x + 7.72